Subtitles section Play video
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- [Instructor] So what we're going to do in this video
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is think about equivalent fractions.
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So let's say we have the fraction 3/4,
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and I wanna think about
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what is an equivalent number of eighths?
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So 3/4 is equal to how many eighths?
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And to represent that how many,
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I could put a question mark there,
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but instead of a question mark, I'll just put a letter.
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So what should y be?
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3/4 is equal to y/8.
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What does y need to be to make this true?
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And before I tell you go go pause this video
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and try to work on it on your own,
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which I will do in a little bit,
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I'll give you a little bit of a hint.
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So let's try to represent 3/4, or I'll represent it for you.
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So I will do it with this rectangle.
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So I'm going to divide it into four equal sections.
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So let's see, that would be dividing it roughly in half.
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I'm hand-drawing it, so it's not perfect,
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but these should be equal sections.
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The areas of each of these sections should be equal.
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So there you go, this is my hand-drawn version of that.
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And so three of those four, and I will do that in purple.
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Three of those four, it could be one,
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two, and then just for kicks I will do this one out here.
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So that is 3/4 right over there.
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So if I were to think about this in terms of eighths.
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So I'm going to draw another whole.
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But this time instead of just splitting them into fourths,
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I'm going to split it into eighths.
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So let's do the fourths first,
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just 'cause it's easy to look at the one above that.
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So that's my fourths.
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And then I'll divide each of the fourths into two.
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So that gives me eighths.
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All right, almost there.
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The drawing is really the hardest part here.
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And so each of these is an eighth.
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It's hand-drawn.
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But imagine if there were eight equal sections.
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So how many eighths is equal to 3/4?
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Pause the video and try to work it out on your own.
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All right, well, we can just look at this visually.
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So this first fourth, we could say that's equivalent
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to filling out this eighth and this eighth.
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So that first fourth is equal to 2/8.
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This second fourth is equal
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to another two of these eighths.
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And then this third fourth is equal
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to another two of the eighths.
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So how many eighths have I shaded in?
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Well, I have one, two, three, four, five, 6/8.
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So I have six over eight.
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So 3/4 is equivalent to 6/8.
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So in this scenario, y is equal to 6/8,
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or we could say 6/8 is equal to y.
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Now let's do another example.
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So what we could see here in this top circle
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is we've divided it into six equal sections.
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So each of these are one of the six equal sections or 1/6.
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And we can see that one, two, three, four
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of them are shaded in.
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So what we have represented in that top circle,
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that is four out of six.
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So what I wanna think about is
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how many thirds are equivalent to 4/6?
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Pause this video and think about it.
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So once again, how many thirds are equivalent to 4/6?
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Instead of just putting a question mark there,
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I'll put the letter x.
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So what should x be for these two things to be equivalent?
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Or another way to think about it is
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four over six is equal to
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x over three.
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4/6 is equal to how many thirds?
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All right, now let's do this together.
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And so one way you could think about it,
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let's see, for 1/3,
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for us to make this equal to 1/3,
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it looks like that is equivalent to
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what I am circling in the orange up here.
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And that also makes sense.
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If I were to divided 1/3 into two,
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so now I would have this would be 1/6 and that would be 1/6.
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So you need 2/6 to make up 1/3,
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or each 1/3 is equivalent to 2/6.
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So this is 1/3 right over here.
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And that is equivalent to two of these sixths.
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But we are not completely done yet.
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We have another two sixths.
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So we could say those two sixths are equivalent
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to another third.
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And it's a little tricky because they didn't put
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this sixth next to that sixth,
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but you could imagine if we were to move.
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Let's say we were to move this sixth.
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So I'm gonna color this one in white.
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So if I were to move that sixth to right over here.
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So we're shading this one in instead.
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So then you can see that these two sixths right over here,
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these two sixths are equivalent
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to this third right over there.
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So what you can see is, is that our 4/6,
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and remember, I moved this one over,
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so I'm not shading this one in anymore.
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But you can see the 4/6
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that I've shaded in is equivalent to 2/3.
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Or another way to say it is x would be equal to two.
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X would be equal to two.
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4/6 is equal to x/3, or 4/6 is equal to 2/3.